Information on Result #693269
Linear OA(2574, 390662, F25, 17) (dual of [390662, 390588, 18]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
- linear OA(2565, 390625, F25, 17) (dual of [390625, 390560, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(259, 37, F25, 6) (dual of [37, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2574, 195331, F25, 2, 17) (dual of [(195331, 2), 390588, 18]-NRT-code) | [i] | OOA Folding | |